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The sum of two numbers is 32. Five times the smaller number minus twice the larger number is 195.What are the numbers ?

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3 votes

Answer:

  • 37 and -5

Explanation:

Le the numbers be x and y

Then we have equations:

  • x + y = 32
  • 5x - 2y = 195

As per the first equation:

  • y = 32- x

Substitute in the second equation

  • 5x - 2(32 - x) = 195
  • 5x + 2x - 64 = 195
  • 7x = 195 + 64
  • 7x = 259
  • x = 259/7
  • x = 37

Then finding the value of y

  • y = 23 - 37 = -5

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